Publications

(with Shaoyu Li, etc) Geometric structure guided model and algorithms for complete deconvolution of gene expression data, Foundation of Data Sciences, 4(3), 441-466, 2022
(with Shaoyu Li, etc) Fast random algorithms for manifold based optimization in reconstructing 3D chromosomal structures, Communications in Information and System, 21(1), 1-29, 2021
(with Wei Cai); An O(NlogN) hierarchical random compression method for kernel matrices by sampling partial matrix entries, Journal of Computational Physics; 397(15); 2019;
Fractional Poisson-Nernst-Planck Model for Gated Ion Channels I: Basic formulation and algorithms, Bulletin of Mathematical Biology, 79(11), 2696-2726, 2017;
(with Wei Cai, et al) Accurate and Efficient Volume Integral Equation Method for Electro- magnetic Scattering of 3-D Meta-materials in Layered Media, SIAM J. on Scientific Computing, 40(1), B259-B282, 2018;
(with G.W. Wei) ; A Review of Mathematical Modeling, Simulation and Analysis of Membrane Channel Charge Transport”, Elsevier Reference Module in Life Science, DOI: 10.1016/B978-0-12-809633-8.12044-8, 2017;
(with Wei Cai, et al) Accurate and efficient Nystrom volume integral equation method for the Maxwell equations for multiple 3-D scatterers, Journal of Computational Physics, 321, 303-320, 2016;
A New Poisson-Nernst-Planck Model with Ion-Water Interactions for Charge Transport in Ion Channels”, Bulletin of Mathematical Biology, 78, 1703-26, 2016;
(with Wei Cai, et al) Quadrature Weights on Tensor-Product Nodes for Accurate Integration of Hypersingular Functions over Some Simple 3-D Geometric Shapes, Communications in Computational Physic, Vol. 20, 1283-1312, 2016;
(with Wei Cai, et al) Investigating the selectivity of KcsA channel by an Image Charge Solvation Method (ICSM) in Molecular Dynamics Simulations”, Communications in Computational Physic; 19, 927-943, 2015;
(with G.W. Wei, et al) Impacts of geometric, thermal and tunneling effects on nano-transistors, J. Comp. Phys., 290: 169-187 2015;
Modeling and computation of heterogeneous implicit solvent and its applications for biomolecules”. Molecular Based Mathematical Biology, 2, 2229-3266, 2014.
(with G.W. Wei) Quantum dynamics in continuum models for proton transport I: Basic formulation, Comm. Comp. Phys., 13, 285-324, 2013;
(with A. Friedman) A two-phase free boundary problem with discontinuous velocity: application to tumor model, J. Math. Anal. Appl, 399, 378-393, 2013;
(with A. Friedman, et al) Hypoxia inducible factors mediated-inhibition of cancer by GM-CSF: A mathematical model, Bull. Math. Biol, 74, 2752-2777, 201
(with G.W. Wei, et al) High-order fractional partial differential equation for molecular surface construction, Mole. Math. Biol, 1-25, 2012;
(with G.W. Wei) Quantum dynamics in continuum models for proton transport III: Generalized correlation, J. Chem. Phys. 136, 124109, 2012;
(with G.W. Wei, et al) Quantum dynamics in continuum models for proton transport II: Variational interface, Int., J., Numer. Meth. Biomed. Engng, 28:25-51, 2012
(with G.W. Wei, et al) Second-order Poisson-Nernst-Planck solver for ion channel transport. J. Comp. Phys, 230, 5239-5262, 2011.
(with G.W. Wei, et al) MIBPB: A software package for electrostatic analysis, J. of Comp. Chem., 32, 756-770, 2011;
(with G.W. Wei) Modeling and simulation of electronic structure, material interface and random doping in nano-electronic devices, J. Comp. Phys., 229, vol. 229, 4431-4460, 2010.
(with G.W. Wei, et al) Computational methods for optical molecular imaging, Commun. Num. Meth. Engng, vol. 25, 1137-1161, 2008;
(with C.F. Xu, et al) Delta-sequence approach to solve PDE based on Daubechies wavelets, J. Huazhong Univ, Sci. Technolo. Nat. Sci. Vol. 32, No. 10, 114-116, 2004;
(with C.F. Xu, et al) Delta-sequence approach to a two point boundary value problem using Daubechies wavelets, J. Huazhong Univ, Sci. Technolo. Nat. Sci. Vol. 32, No. 5, 40-42, 2006;
(with C. F. Xu, et al) Meshless method based on natural boundary element, J. Huazhong Univ, Sci. Technolo. Nat. Sci. Vol. 32, No. 12, 105-107, 2004;